Question

Suppose 0.0150 kg of steam (at 100.00°C) is added to 0.150 kg of water (initially at 19.3°C.). The water is inside a copper cup of mass 54.1 g. The cup is inside a perfectly insulated calorimetry container that prevents heat flow with the outside environment. Find the final temperature (in °C) of the water after equilibrium is reached.

Answer 1

The sum of the heats gained is zero.

Heatcodensingsteam+heatcondensedsteamTofinalTemp+heatwater to finaltemp+heatcopper to finaltemp=0

Heat gained condensing steam=-.00150*Hv the sign is negative because heat is LOST.

Heat gained by condensed steam=.0150(cw)(Tf-100)
Heat gained by heated water=.150*Cw*(Tf-19.3)
Heat gained by copper=.054(Ccu)(Tf-19.3)

add all these, set to zero, and solve for Tf.